What is the Least Common Multiple of 33039 and 33045?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 33039 and 33045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33039 and 33045, than apply into the LCM equation.

GCF(33039,33045) = 3
LCM(33039,33045) = ( 33039 × 33045) / 3
LCM(33039,33045) = 1091773755 / 3
LCM(33039,33045) = 363924585

Least Common Multiple (LCM) of 33039 and 33045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33039 and 33045. First we will calculate the prime factors of 33039 and 33045.

Prime Factorization of 33039

Prime Factorization of 33045

Now multiplying the highest exponent prime factors to calculate the LCM of 33039 and 33045.

LCM(33039,33045) = 3² × 3671¹ × 5¹ × 2203¹
LCM(33039,33045) = 363924585